Fluctuations in extensive observables decay as 1/N for states with bounded multipartite entanglement and exponentially only when entanglement grows with N, so entanglement is not needed for typicality in macroscopic systems.
Reimann, Phys
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Necessity of entanglement for the typicality argument in statistical mechanics
Fluctuations in extensive observables decay as 1/N for states with bounded multipartite entanglement and exponentially only when entanglement grows with N, so entanglement is not needed for typicality in macroscopic systems.